Polars - Complex #'s and from Rectangular

Give the standard form of:
2(cos 120* +  $i$ sin 120*)

•  $1+i\sqrt{3}$  

•  $\frac{-1}{2}+\frac{2i\sqrt{3}}{2}$  

•  $-1+i\sqrt{3}$  

•  $-\sqrt{3}+i$  

Give the standard form of:
5(cos 135* +  $i$ sin 135*)

•  $\frac{-5\sqrt{2}}{2}+\frac{5i\sqrt{2}}{2}$  

•  $\frac{-\sqrt{5}}{2}+\frac{5i\sqrt{3}}{2}$  

•  $\frac{5\sqrt{2}}{2}+\frac{-5i\sqrt{2}}{2}$  

•  $\frac{-5\sqrt{3}}{2}+\frac{5i}{2}$  

Give the standard form of:
6(cos  $\frac{\pi}{3}$  +  $i$ sin  $\frac{\pi}{3}$ )

•  $3+i\sqrt{3}$  

•  $3+3i\sqrt{3}$  

•  $-6i\sqrt{3}$  

•  $-3i\sqrt{3}+2$  

Give the standard form of:
8(cos  $\frac{5\pi}{6}$  +  $i$ sin  $\frac{5\pi}{6}$ )

•  $-4\sqrt{2}+4i\sqrt{2}$  

•  $\frac{-i}{4}+8\sqrt{3}$  

•  $4\sqrt{3}-4i$  

•  $-4\sqrt{3}+4i$  

Give the standard form of:
4(cos  $\frac{3\pi}{2}$  +  $i$ sin  $\frac{3\pi}{2}$ )

•  $-2\sqrt{2}+2i\sqrt{2}$  

•  $-4i$  

•  $-4$  

•  $-2\sqrt{3}+4i$  

The rectangular point  $\left(-4\ ,\ 0\right)$  
written in polar coordinates is...

•  $\left(-4\ ,\ \pi\right)$  

•  $\left(4\ ,\ \frac{3\pi}{2}\right)$  

•  $\left(4\ ,\ \pi\right)$  

•  $\left(4\ ,\ 2\pi\right)$  

The rectangular point  $\left(0\ ,\ 7\right)$  
written in polar coordinates is...

• (0* , 7)

• (7 , 90*)

• (7, 270*)

• (-7, 180*)

Which $\left(r\ ,\ \theta\right)$ below is the same as the
  $\left(x\ ,\ y\right)$ = (5, -5)?
Click ALL that apply...more than one answer.

•  $\left(5\sqrt{2},\ \frac{5\pi}{4}\right)$  

•  $\left(5\sqrt{3},\ 240^o\right)$  

•  $\left(5\sqrt{2},\ 315^o\right)$  

•  $\left(10\ ,\ 150^o\right)$  

•  $\left(5\sqrt{2},\ \frac{7\pi}{4}\right)$